Gravitational lensing by a black hole in effective loop quantum gravity

It is well known that general relativity an effective theory of gravity at low energy scale, and actually quantum effects cannot be ignored in the strong-field regime. As a strong gravitational object, black hole plays key role testing In this paper, we focus on loop investigate what influences are weak bending angles light rays. We find could Schwarzschild hole, regular one-way traversable wormhole, or two-way wormhole for different values parameter, angle compact object exhibits two divergent behaviors, i.e., logarithmic divergence non-logarithmic divergence. There series relativistic images both sides optical axis. Only outermost one can resolved as single image, all others packed together limiting angular position. interesting to note separation between image initially increases then decreases parameter increases, indicating there maximum separation. The reached after becomes which taken signal formation wormhole. Moreover, position but little bounce occurs relative magnification magnitudes first increases.